Deck 4: Trigonometric Functions

Question 1

Use a graphing utility to graph the function below, making sure to show at least two periods.

Answer 1

B

Question 2

Determine the value of x.

Answer 2

A

Question 3

Answer 3

D

Question 4

Question 5

The circular blade of a saw has a diameter of 6.5 inches and rotates at 2000 revolutions per minute. Find the linear speed of the saw teeth in feet per second. Round your
Answer to two decimal places.

A) 113.45 feet per second
B) 680.68 feet per second
C) 9.03 feet per second
D) 56.72 feet per second
E) 209.44 feet per second

Question 6

Determine a pair of angles (one positive and one negative) in degree measure coterminal to the angle 117°.

A) 297°, -63°
B) 477°, -243°
C) 417°, -183°
D) 234°, 117− °
E) 297°, -243°

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

When an airplane leaves the runway, its angle of climb is 15° and its speed is 275 feet per second. Find the plane's altitude relative to the runway in feet after 1 minute.
Round your answer to the nearest foot.

A) 3417 feet
B) 2563 feet
C) 5979 feet
D) 4271 feet
E) 5125 feet

Question 16

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is set in the correct angle mode.)
Tan1.7

A) 0.0297
B) 0.9917
C) -0.1288
D) -7.6966
E) 1.0084

Question 17

Question 18

Evaluate the tangent of the angle without using a calculator.

Question 19

Question 20

Question 21

Question 22

Use a graphing utility to graph the function below, making sure to show at least two periods.

Question 23

A) L = 0 meters
B) L = 84 meters
C) L = 69 meters
D) L = 190 meters
E) L = 24 meters

Question 24

Evaluate the sine of the angle without using a calculator.

Question 25

Find (if possible) the complement and supplement of the given angle. 51°

A) complement: 129°; supplement: 39°
B) complement: 51°; supplement: 129°
C) complement : 129°; supplement: 309°
D) complement: 39°; supplement: 309°
E) complement: 39°; supplement: 129°

Question 26

Use a calculator to evaluate the function. Round your answers to four decimal places. (Be sure the calculator is in the correct angle mode.)

A) 0.8429
B) 1.2753
C) 1.1863
D) 1.8586
E) -1.4725

Question 27

Evaluate the cosine of the angle without using a calculator.

Question 28

Question 29

Question 30

Find the reference angle for the angle 6.1 radians. Round your answer to one decimal place.

A) -3.0
B) -0.2
C) 3.0
D) 0.2
E) -12.4

Question 31

Question 32

Question 33

Use trigonometric identities to transform the left side of the equation into the right side.
Assume all angles are positive acute angles, and show all of your work.

Question 34

Approximate Round your answer to four decimal places.

A) 1.2490
B) 0.3463
C) -0.1425
D) 0.8006
E) -7.0153

Question 35

Question 36

Determine the exact value of arctan ()-1 .

Question 37

Find the frequency of the simple harmonic motion described by the function below.

Question 38

Question 39

Question 40

A) Quadrant III
B) Quadrant I
C) Quadrant IV
D) Quadrant II
E) Quadrant I or Quadrant III

Question 41

Question 42

Question 43

Question 44

Question 45

Question 46

Find the indicated trigonometric value in the specified quadrant.

Question 47

Use the figure and a straightedge to approximate the value of cos1.75 .

A) 1.00
B) 0.98
C) -0.18
D) -5.52
E) -5.61

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Use a calculator to evaluate the function. Round your answers to four decimal places. (Be sure the calculator is in the correct angle mode.)
Sec 41.3°

A) -1.1156
B) 0.7513
C) 1.3311
D) -0.7671
E) 0.8785

Question 58

Question 59

Question 60

Question 61

Use a calculator to evaluate . Round your answer to four decimal places.

A) 4.9152
B) 4.8288
C) -0.2445
D) -0.0398
E) 2.3649

Question 62

Question 63

Question 64

Evaluate the trigonometric function using its period as an aid.

Question 65

Question 66

Question 67

Question 68

Determine the quadrant in which the angle -191° lies.

A) Quadrant III
B) Quadrant II
C) Quadrant IV
D) Quadrant I

Question 69

Find the radius of a circular sector with an arc length 26 feet and a central angle radians. Round your answer to two decimal places.

A) 5.52 feet
B) 12.41 feet
C) 3.40 feet
D) 0.18 foot
E) 0.08 foot

Question 70

Question 71

Question 72

Question 73

The circular blade of a saw has a diameter of 8 inches and rotates at 2000 revolutions per minute. Find the linear speed of the saw teeth in feet per second. Round your
Answer to two decimal places.

A) 139.63 feet per second
B) 837.76 feet per second
C) 11.11 feet per second
D) 69.81 feet per second
E) 209.44 feet per second

Question 74

Question 75

Question 76

Question 77

Question 78

Question 79

Question 80